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There are a total of 14 tiers of gems. 13 that you'll learn from the Jeweler, as well as the baseline chipped gems, which are not created. You'll need 3 gems of any level to create a gem of the next level. Higher level recipes will also require an additional ingredient, one or more Pages of Jewelcrafting, Tomes of Jewelcrafting, or Tomes of Secrets. However, all the way up to Radiant Star grade gems, which require 20 Tomes of Secrets, you will still only ever need 3 Perfect Star gems to create them.